10225105968 has 720 divisors, whose sum is σ = 37300945920. Its totient is φ = 2395008000.

The previous prime is 10225105951. The next prime is 10225105981. The reversal of 10225105968 is 86950152201.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 167624658 + ... + 167624718.

Almost surely, 2^10225105968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10225105968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18650472960).

10225105968 is an abundant number, since it is smaller than the sum of its proper divisors (27075839952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10225105968 is a wasteful number, since it uses less digits than its factorization.

10225105968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 10225105968 in words is "ten billion, two hundred twenty-five million, one hundred five thousand, nine hundred sixty-eight".